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Finding the Fourth Proportional to 7,927.86, 10,938.87 and 4,784.22

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Solution

The fourth proportional to 7,927.86, 10,938.87 and 4,784.22 is: 6,601.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.86 : 10,938.87 = 4,784.22 : x
  2. Step 2: Convert to fraction form
    7,927.86/10,938.87 = 4,784.22/x
  3. Step 3: Cross multiply
    7,927.86x = 10,938.87 × 4,784.22
  4. Step 4: Simplify right side
    7,927.86x = 52,333,960.63
  5. Step 5: Solve for x
    x = 52,333,960.63/7,927.86
  6. Step 6: Final answer
    x = 6,601.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.